The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0 12  4  1  0  0  1  4  2  2  1  1  4  2  2  0  2  0  1  1  1  1  0  1  1  1  8  1  1
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2 10  4  6  8  2  2 12  2  2  8 14  2 14 14  0 10  2  0 12  2  6  2 10 10 14 10  2  0  4  2  2  4 12
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14 10  2  0  4  4  2  2  8  6  2 12 10 12  8  0  4 14 10  8  4  8  4 12 14  6 14  2 10  0  6  0 10  0
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12  6 12  0  2 14  0  8  4  8 12 14  6 14 14 12  0  6  8 14 12 12  8  2 12  2  2  4  8  2  2  2 12  2
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0 12 12 12 12 12 12  0  8  8 12 12  8  0  8  0  8  8  8  0  8 12 12  8  8  0 12  0  4  8  4 12  8  4

generates a code of length 54 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+86x^46+352x^47+686x^48+1064x^49+1562x^50+2626x^51+3175x^52+4570x^53+4384x^54+4964x^55+3243x^56+2478x^57+1477x^58+948x^59+537x^60+320x^61+138x^62+62x^63+66x^64+14x^65+6x^67+4x^68+2x^69+2x^71+1x^74

The gray image is a code over GF(2) with n=432, k=15 and d=184.
This code was found by Heurico 1.16 in 14.6 seconds.